Worksheet
Curated OER

Conic Sections

For Students 11th - 12th
In this conic sections worksheet, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of each of...
Worksheet
Curated OER

Applications of Hyperbolas

For Students 10th
In this hyperbola worksheet, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
Lesson Plan
Curated OER

Kepler And His Laws

For Teachers 9th - 12th
Students engage in an overview of the story of Tycho Brahe and Johannes Kepler, and of Kepler's laws. Each of Kepler's laws be studied separately in more detail in later lessons. They examine Kepler's 3rd law.
Lesson Plan
Curated OER

Graphing Conics

For Teachers 12th - Higher Ed
Students explore conics using four different graphs. In this calculus lesson, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
Lesson Plan
Curated OER

Hyperbolas: Sketching from the Equation

For Teachers 9th - Higher Ed
In this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Lesson Plan
Shodor Education Foundation

Cross Sections

For Teachers 7th - 12th Standards
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Lesson Plan
Curated OER

Graphs And Ellipses

For Teachers 9th - 12th
Students become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.
Activity
Curated OER

Introduction to Conics

For Teachers 9th - 11th Standards
Just exactly where does the name conic come from? This brief hands-on exploration explains it all. Have your class cut cones to create their own conics, then assess their understanding with a few identification problems. Consider making...
Lesson Plan
Curated OER

Worksheet 30 - Definite Integrals

For Teachers Higher Ed
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Lesson Plan
Curated OER

Introduction to Conic Sections

For Teachers 9th - 12th Standards
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
Lesson Plan
Curated OER

Planet Paths: Studying Planetary Orbital Paths

For Teachers 6th - 8th
Students define and identify planetary orbit, ellipse, parabola, and hyperbola, and simulate Kepler's Second Law. They explore interactive websites demonstrating orbital motion and complete modeling activities.
Lesson Plan
Curated OER

Ellipses (Part 1)

For Teachers 10th - 12th
Students work with Ellipses in Algebra II. In this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
Worksheet
Curated OER

Classifying Conic Sections

For Students 10th - 11th
In this conic section activity, students classify 8 conic sections. They write the standard form of 8 conic sections. Kids sketch the graph of six shapes. For the graphs, students are directed to find either vertex and focus, or center...
Lesson Plan
Curated OER

Kitchen Paraboloids

For Teachers 9th - 12th
Students solve quadratic equations and identify functions. In this algebra lesson, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in standard form.
Worksheet
Curated OER

Precalculus, Droodle Review Sheet

For Students 10th - 12th
In this pre-calculus worksheet, students solve 20 problems in order to determine the "Droodle." Each correct answer the students achieve will be associated with a letter, that letter will be used to uncover the identity of a strange...
Lesson Plan
Curated OER

Hyperbolas

For Teachers 10th - 12th
Students find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...
Lesson Plan
Curated OER

Hyperbolas

For Teachers 9th - 10th
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
Lesson Plan
Curated OER

Conic Sections

For Teachers 10th - 12th
Learners, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
Lesson Planet Article
Curated OER

Connect the Mathematical Dots

For Teachers 8th - 11th
Teachers can choose visual activities that demonstrate the elegance associated with the coordinate plane.
Lesson Plan
Curated OER

Loyalists

For Teachers 9th - 12th
Students explain why some colonists remained loyal to England during the American revolution. In this social studies lesson, students write a letter to an editor about their reasons for remaining loyal to England.
eBook
Mathigon

Mathigon: Geometry: Circle and Pi: Conic Sections

For Students 9th - 10th
The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Circles and Other Conics

For Students 9th - 10th Standards
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
Website
Discovery Education

Discovery Education: Web Math: Plots and Geometry

For Students 9th - 10th Standards
This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.
Graphic
Math2

Math2.org: Algebraic and Conic Section Graphs

For Students 9th - 10th Standards
THis resource provides examples and information about Algebraic graphing.